Question

Calculate the gravitational force between two bodies of masses 10kg and 55 kg if they are placed at a distance of 2 m apart

Answer 1

Answer:

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Explanation:

$to \: find = \\ gravitational \: force \: (F) \\ \\ given = \\ mass \: of \: first \: body \: (m1) = 10.kg \\ mass \: of \: second \: body \: (m2) = 55.kg \\ distance \: (d) = 2.m \\ G = 6 .67 \times 1 0{}^{ - 11} \: \frac{Nm}{kg {}^{2} } \\ \\ so \: we \: know \: that \\ \\ F = \frac{G.m1.m2}{d {}^{2} } \\ \\ = \frac{6.67 \times 10 {}^{ - 11} \times 55 \times 10 }{(2) {}^{2} } \\ \\ = \frac{6.67 \times 10 {}^{ - 11} \times 550}{4} \\ \\ = 6.67 \times 10 { }^{ - 11} \times 137.5 \\ \\ = 917.125 \times 10 {}^{ - 11} \\ \\ = 9.17125 \times 100 \times 10 {}^{ - 11} \\ \\ = 9.17125 \times 10 {}^{2} \times 10 {}^{ - 11} \\ \\ = 9.17125 \times 10 {}^{ - 11 + 2} \\ \\ = 9.17125 \times 10 {}^{ - 9} \: N$